{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysing Smartwatch Data\n",
    "\n",
    "This notebook gives an overview of how to use HeartPy in the analysis of raw PPG data taken from a commercial (Samsung) smartwatch device.\n",
    "\n",
    "A signal measured this way contains a lot more noise when compared to a typical PPG sensor on the fingertip or earlobe, where perfusion is much easier to measure than on the wrist.\n",
    "\n",
    "Analysing such a signal requires some additional steps as described in this notebook.\n",
    "\n",
    "First let's load up the dependencies and the data file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "import heartpy as hp\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "df = pd.read_csv('raw_ppg.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['ppg', 'timer'], dtype='object')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.keys()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exploring data file\n",
    "\n",
    "Let's explore the data file to get an idea of what we're working with."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.plot(df['ppg'].values)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ok..\n",
    "\n",
    "There seems to be intermittent sections of PPG dotted between non-signals (periods where the sensor was not recording). \n",
    "\n",
    "For now let's slice the first signal section and see what's up. Later on I'll show you how to exclude non-signal sections automatically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1XgDLAAxx2fQ7AJ4AsNXXEVYBzsk2Z82OtPddiVSG2QYAmsyIge1tXRnr/CSeZIR0gkali7qR/Q6JMmVo7q8ITf5Pb60p8ziC+93FzayUU6uai/YVZKMnomYAEwG851g+BMAFAO53+RgDeImI5hPRNTn2fQ0RzSOieS0tLYUMq+w4ZafTAdmVTLoKetFIfMvu4OPow5oGXaNAi5rJF4J8mHLHc+9vlMtkI7hsyjAAwAUThwZ+rFIK3/1C0BNRIwyN/QZm3uNY/RsAP2RmNxvEVGaeBOAsAN8iouPd9s/MDzDzZGae3L9/f6/DqgicE0BzSHphunFCRFlj7/0knmSEQ4SQpgUS9ijOVraXysImWWYTwv5GueXRoB6GAiMCAIJAXHMlPdcqnsaeglCJKAxDyD/MzE+6bDIZwCOmDbofgLOJKMHMTzPzJgBg5q1E9BSAKQBm+zL6CsHpEHJaox+btzHrZyMlKGwWT6YQ0jT0rAujvSu4jFVZkZSfHOLKdFNSyv0EJao8Btn4REyv0mr0JTuU73iJuiEADwJYxszT3bZh5pHM3MzMzQAeB/BNZn6aiBpMBy6IqAHA6QA+9G30FUJ3JkA0pPsq6DsTSUy84yWslVr4JZKMsE6oi+joCODic3OMyTe/cjsF9zeCNM95QRw+yCADW9AHdogMct1UfvfKxzj0thdKN5gC8fJsNRXAFQBONkMkFxLR2UR0LRFdm+ezAwG8SUSLAMwB8BwzV+63USTOCVDI5GvtjGPV1lbfxvLCh1uwsz2Oq/5vrrUskUohpGuIhrS0aBi/sBxjskafUoK+XJTbRi+OHoRS4aSUN7VcR5o+8yO0dSXL/t1nI6/phpnfRKY1Itf2X5VerwYwvqiRVRHO37aQx8mOeApz1u7Iv6FHGs2U8GFm5iAzGzZ6jRAL6+gIwExknW2ajd5er0w3pYOZyy5sxI2/I0iNHsJGX1nO2NbOBHrWhUswmsJQmbE+4Jxs5bzQ4klRSdP4aYW9NqxriIWD0uiN//Jpy99JuWqu7I9UgkJpmW6CzIwVc67CyhT/72urSjCSwlGC3gfEnf7CSUY4mejwIxjYI4pLjxzm+lmRR/TA7FV4d/X2bo9FxKyHdbNUrRD8uoZYWA/k4ktZphtJo1c2+rIglAxdo7LVGRLa9svLtgbWGKQsJRByHEtcb/e/rgR9zSIsExdOMvLIQnr6FZZMISMrVvDFo0agT0MEv5ixHJc+8G63xyKEalhPz4QNaYRYKCBnrItGLz/VKI2+dIjvPRrSylZ+QhaI02d+FNAxMpWLoMn1VeoVnvmtBL0PiMkW0t0LhzEzss2DkE6I+2g3F0JV3GzEhU8Ew3QTgN3Ujml2T5iKB6DRr9/ejlkr9rsk7LyIJzrRUawc/pFS3FvsWjfBH0uQ66aiV3iZViXofUD8/pZwzYjC4ax3/Iiu+XoxitIDYS39pqMLZ2yAphv5rNOjbvwXNifcMwtX/nlu/g33M0TyXX3EEPTlMJtxCTKL5q3bCSB4jX7Rhl14fvFmALlvKnXm912pKEHvA2KyOYWrvT4zW1YQ1v3NjBVJKuKmI8amaxRYM3Jxug/MXo3H5xvJYUlmKxs4iL6e5c7+rFTE01M5BX0pM0iDfno47763cN3DCwA4n1jTD3z40F7BDqSbKEHvAymHRu8WbpntyS6kk6+TVWj04glCPF0QESI+31QE8py/6Z+LzGVsdbXy0zSlyI34fetM0005CsoFrWV/smtfyY4lI1+nzuxj2URaiaWTlaD3AUujd9jFBZxHow9iLNZ78zrXydToAzCjuE3sZIqtWieqemWwtHcl8LNnlqCtM2H9vvURI5+iHOUQgpZzsimwlEJ1pZTY6FSYxDXPXJpEsUJRgt4HxGQTseuZmbLZnbFh3V8njtNJZZtujLo68ST7HonhplUlGVb7wiCcsQqbB2avxl/eXouH3lmXYaMvR8RT0L/2zna78XyQ9zHnd/frl+0IItnX9cHGXXhzpd1uY9e+YMuOF4MS9D4gtCaruYfLY13JNHqhWZiXm/1ISYH1qHW72GTTTdDVOfdHzvj1bJx0z2sAgF2m4ItIPYuFc7AcyXvMRoRXUCzdZBfPDdJ08+jcDdbrZz/YlLZOrk917r1vpa3bEXB/iWIoZQv1miWedEQ6uJlusqj0/ptu7GPK/3XTRg8Ygl6E3/lzzGymm/LZiWudFZ/utV7vNdtXNkVDkummfE9TKWaEdS0wE4Z8KQV5H/vx03b9xW///f20dbmi1yoxQVBp9D4gLqZYWEdII7R1ppcCLqXpxhnqKJyxmgZLw/a7fKybUpVMsaXVBanRl8pG2xFP4qZ/LsImyREYBLNWbC246uO+uDHfOhNJXHz/OwBkG7393Tff/Bxu//cSn0aamyCjyuMlstGfeFD2vhi5Ks4G4QfrLkrQ+4B4PA7rGhqioSyCvjQavd1iLd10owVounG72JhhNSTvClDDKZVl4n9eW4XH52/EPS8G1/B64YZduPLPcws+hviNV7XYpamd4ZXbWjsBAH9+a60PI80NM4OIcNDAJvSq97/AlzyfgjRNHT2qb9Z1SzftwU3/XOTqA7nub/MDG1OxKNONDyQsYWpUj2ztTNfIUpy9BILfgl5o8HYUQHocPeCvhp1MMdocXau+8qc5iCdTlp04SI0+mcqejOYnomZLkF2TRLnqlr2dBX1OyBrZhOY0I978xAc+jNAbDONaOOSAJuwLIEFPjroJ8kafa97eaIYRTx7RO2PdttbKs9Erjd4HkqkUQhqBiNAQ1dM0eiFoS2e6McckBD5LGr3uv+B9YPbqjGWvf9SCLXs6LNNNkJEfpYqjHtgjmn+jbiI/GXqFma05Jn/PdcJ0Yy47oGdd2meCJGVq9BpRIFmyVpkPjQI9Fy/Xye9d5n8logS9DyRSbDlbG6IhtEnt+mTTiRtBxdE/ueATPD5/o7vpxkdBv3yLs32wAbMRbqpRsBp9qQT9KYcMBAD8Y86GPFt2gyLu+Z2JlHUzb5eerJzOWLmiane17Hw175mNUyEiBOGH75IK9wX5++fylQiT1GnjBgZ2fD9Rgt4HkklGSAj6SLqNXlwP2cwLId9t9Pbrm/65yI66kU03SX8ep+PJFP610A47k4VJIpWyjhmsRh/YrtMQN6uR/RoCP1Yhp9QudTWSf4t6R3jl7n127Pn6He3dGt9F97+Dz/zsxazrGUaGaFBZovFkChFdg675m1XuJJeCIkJa93bEs25TSShB7wNJqWiZYbqxBanQOLKVQPDddJMlNVsjWOGVfvWoHfOj563XB/SM4UfnHGy9jycNB3RYD7b5eanixEU4XUO0sopXtXUmXKOe6hzVK2VBv3jj7m4dc/66nWjvSuKZRZtc17Ppk9IomOSpRDKFkG7U2w9So/cStBDoE56PKEHvA8mUpNFHQ2hNs9Eb/7OZbiIBxdFbY7PCK4s33cxduwPNNz+Hj6TY7Y0707XC3fviqAun+/Y1MkI6g9ToSxVeuXl3BwCk3cSDopBT+u4j77uaYhqiwkZva/TioVKEXhZKMsVovvk56/0dWUI1mRkEY84HIYjjSSNOXyMKtNxCoWHIE4b1wrnjB1s32UpCRd34QCLF0M3yB43RED7Ztc8KMUvlccb6bbpxXlhW1A1R0ZmqL3y4BQDw+ooWrN/ejuVb9uCel9IbSvzy85+xQvgEumYkadWSRu8MnfUTr8928s3t/fW7XLfpETNsyMIZu2dfHIN6xLBpd0fRNvoNOzJv7u7js003Qfw8XckUwrqGZCoVuEY/sl8D1mxry78xgEnDeyORSgUamVUslTeiKkS20Yv07JG3zAAASdBnc8b6XevGabqBdfxi4+jFuf18xjJc/dC8DCEPAOdNGILPDOmZtkzTCNGAauALrvvbgpKUWBDH2Fpg6GMhiBDcfJEq+WTbry4ej7pIes/gPR1xDOwZA1C8M9aZ4Zwt65bBIBhRaEHI4UQyhbBOgT0x2MdhhHWy5j8AnHpIdueryJcpR1evfChB7wMJKZbbqeWIayNbHH3QphvrRqNJNvoCH0mzlW8QPP2tqQCAvo2R9M+ZppsgNfo5a3dg7I+fz79hN5FvjkHeuLyQT7hdeMRQ6wkzIdnoB/UwBP0exxwdd9sL+L2j1ykzZzy9bNzpLSvYqNZq/AXjjDVMN8YTs++7t0ikUmbkmD3/ZaE/aXh6DXpR06oC5Xx+QU9Ew4hoFhEtI6IlRHR9jm2PJKIkEV0kLTuTiFYQ0UoiutmvgVcSyVTKqkU/rE992jqremRWZ2zQZYrtJwrxSFmoRp9LzK/+xdmYMMyY8M76OToF19Wq1MhPDbvag4m08Pps50WQCIEUl2z0A01B/18vrrBMXh3xJNq7kvjl88vTPn/QT17AoT99Mc1c89UsHb12tXelhSKKBEFCMBp3l6XRB+ujiZsavYwcPXdAr7q0dQyGrpWnkFw+vEiZBIAbmfkQAEcD+BYRjXNuREQ6gLsBvOhYdh+AswCMA3CZ22erHVmjv+UsI/JkzIBGALJG7X4ZN8X8dZM4LyzhjBX2cqBwG/2qltas6+TzEj4AeV0srPleW6ccdCZSaDBDFgutReMVznjhjviNbzp9bMa6aWP6AZCaw6cY8WQK7V1J9G2wn7hEwIDzCXRXexdmLd9qzZHXPmrJOZbd7XFMuGMmLv/De9J52H6pIERePJGynLFB1stLpFKGD026dOX5HnJc09877SBoGmW0Eq0E8gp6Zt7MzAvM13sBLAMwxGXT7wB4AoDcsXkKgJXMvJqZuwA8AuC8bo+6wpCjbsYMbMLJBw+wtGdxc89muuldb198fvQXdk58cXzZRl+ooHpxyaeuyy+ZPCztvVOj14RGH5BgLCVdiRSaTAdnUKYor9qv3aNYy1AUxDwTT5iJZMoS5j2lujMiEmqfo3zF1x+ahyv/YmvuP5EqOLox/o6XABghl/YAhTM2GHt1IiWiboINr4xLvjeB/FbXCE1R+/vv0xAxI4GqUNDLEFEzgIkA3nMsHwLgAgD3Oz4yBIAcaLoR7jcJENE1RDSPiOa1tOTWIioNOeoGMAScsI7kK4GgaYSHvjYF44f1AnNmHHyhZDfd2LHV+7q6J6iG96nHc989DndfdHjacqcZStcIsVDwphthew6SrkQKPeqMizqoJxQxV/LNADmSqzGaGdIKpJtuLEFfZwt6EXbpNOPNXbsz7f2xo/sWLLiMWjdkJkwV9FFPxE3TTdA2+mSKrRumwGmvd/qldKKqNd0AAIioEYbGfgMzO/PefwPgh8zsvKLdxJvrt8DMDzDzZGae3L9/9vKglYis0QNGNychYGWNOhvHj+2P0w4ZYOyrm1dGRhx9yjbdhHQNEV1De7ywEMEDTTPUk988Fq/ddCJm/+AkHDq4p+u2z18/zXot/AJBt1YLonCWDDOjKylr9AGZbtg+Xi7k+kUivl+gWRq97YwVgr6HLOjNRz/ZjOcmoN5etR2n/Xq2J3OfeEoQPZKNWjf+0yVMN1pwNvpEMmUkZmlamhDT065zysh418xs3UrT6j0JeiIKwxDyDzPzky6bTAbwCBGtBXARgP8hovNhaPDy8/1QAO7pdFWMXOsGMCaAuBjzxdELxOe7qw1khFdKNnrAqL5YiEbKzFi5tRVjBzZi0vDeaM5TAkDW6jVCSTT6oAW9MNUI7Tk404237VgKmXXi1OgTKcYnZrRMj1jYsusLjV5OZht96wzX463c2opZKwyLbJ+GiOs2ANBqNkD518JNWLe9PTDTSjxp2+gLVYxWtbRaeSG5GH/7S1i0cXeGM9Zpuglp6SI05NN17Ddeom4IwIMAljHzdLdtmHkkMzczczOAxwF8k5mfBjAXwBgiGklEEQCXAnjGt9FXCCmHRi/H0sqt/HLhduEVNRbHxN+6x9D4xISMFtggXJRcXd3iLWlEvjB04Yz1WTA6b2ZdiVSgscvi+xIa8da9Hbk2LxqvQjGX8mDZ6IWgTzK++4jRHakznsTwvsaN2k2jl/niUcPT3v9ixjIAudvkfeJoyiInDPqJYaMn6EWYbk751eu4Nk+9+JRUejukaWm+M7l7nE6UEWQhFKpKc8h60einArgCwMlEtND8O5uIriKxf5wAACAASURBVCWia3N9kJkTAL4NIxJnGYDHmLk0LW5KiCjgJZATOeRWfrl48M01AIDnPtjcrbE4J/4eU8sS44voWkFRNyKW+hef/4yn7WWNfuuezkDCK+Vz1CXNNSjE9zXEDKd7+v1gHkoLttFrlBZJA9jC3/pekil84QjjofqI5t5oN3/PNz82mllnS3q6etqotPfrththlv2bspdrXrghPUs3sMxY03TTnVo3uUwrcvBALhu9plHGzVZ875XWPdNL1M2bzEzMfDgzTzD/ZjDz/czsdL6Cmb/KzI9L72cw81hmHs3MP/f7BCqBTBu9i+kmzzfdkKXfbKE4J367WTJZjC9SYALT8+ZjruzIy4V8Yby5chuiYR2diZSvNkt5X3oJHpWFoG/ua+RIjB/q7p/oLl5PQY7kuufi8WnrxPdBRAjrhESK0bM+jFhYQzSk48NNRkGz35iNVNyeIA8a2ISR/Rpw5/mHZaz72ecOzVj2p69OBpCZ5a1RMPGVCdNJ2p0Il1xPtXIkkq4Z+QCCwVLsvO6S+SsUukrrk6wyY31AZMQJ5PjefCUQBNMvmQAAGJBDY/KCc+KJGuWWjT6ko6sAZ+LdLxiJNA0eC2GFpTtaIpWymo/4ab6RBaJtiw7uwlqxxSjmJkJUOwMq0uZ8CsyGHMk1ydHhSDYRhjQNiRRjb0cCjVHjRj2kl3GzGm4m9onf5bnvHmd9bqWZN/Glo4bjt5dOSNt/oxnOOW1MP/z1qim46IihmDDMGIOz4FtQNnpDsSo8jl4277XnKE4n1/V3XrdDe9Xh0ME9AAC6nulsrlqNXpGfFKfHwMvZcfni6AX9zDCtjm4KRKdmK3qE6pJG79V0I2tLXn0HYSlp6pRDBiJq9o3103wj14IphUb//ceNNnyLNu4ySjoEFEVUqEavEaFHLIRxB/Sw1jnD/+LJFP4xZ71VcO7Kqc0AgDMOHQTA/l3lZDfZr3TWYQekHVvsnRmYNqY/7rl4vOWkbu9KOLb130Z/2QPvYs22NrOjm/cbyZMLNuLReXak996O7JFn8lyVL9vrThyNiycPtcyTussThV4CxaMYlKD3AXY0/5ZNN/ni6AV+CcRsE1823Xh1xsq1TQ4+oMnTZ2QT1m2fHWdp9H6GWLKrRh+coBduh3gyhVhYDzC80jiH7W25C6fJzlgiwhPXHWutk+dZSCfLyS+IhtKfsMRNP1spjkhIwxHmU8OcW09xTeqLhDSEdcroHRxEZuw7q7cDMK6xQurKfO+xRbjlycXW+1zfsRzFZRRnM16feshAkJR46NZMyIqeq0JnrCIPRoKI/T4t6saj6UY00u6+oHdfXowz9qn3PwFg9EuVe47mQhYYsbCOWMj/sgHyzUxO9Q8K0Ubw5IMHBKrRi9N6a+X2nNs5I7mcgQCCkK5l3ACF7V7MAaHRh3XN8hP97rKJaZ95/NpjsOoXZ2OAlJjmrLAZTzJeWmKHLY7u32BVrwwiplzXCJpWvGnohSXZQyxlM6N8XYsSIsIX4VYPP6RMN7WLaIYskON7xQ+eT9CL8gHdFfTZLioRXunmjO2IJzMaiQC2Hfehrx3l+fhOLcc+r2A0+jEDjWSuIDX6QwYZTzOTm/sgFtYDi9svtASC5iLo5WkW1siqR//5iXZCekS3m8GIp7tISLM01dMdfVCJ7MQg4Zh0G+oqMwQ3oms4bdwgayxBKLcihr3YcOShveqwZlsbFm7YlaH4xNMEve2KDYdsAQ+YzcnNG554cq1UZ6xqPOIDoiyrQNdIyoz1ZrqJhfwxcWQTFsJH6lZk7JLfv4NFG3fj0iOH4a4L7bIGosl5r3pvETdu2KYb/zX6Uw8ZiDMPG4S3Vm5HMkuYoB/IDdbrI0EKeuO/yETOvp1IgoM5LntdmglRN2z0RMBQqapqW1fSaqYhHI+RkIbHvnEM5q/bmVGzSCab8G6MhixNN56y68UDwRQ2C2lmVFGRv/tD76zDT/5lR3qvvesc67Vs2pSj5YSyJM5L02yN/plvG85s5YytYYwL1BlHb7zO10pQIFLW/52lD2dhY8lEaGtuRcYWmT1EH5m7Aeu325q9iExoiBavD/j1pCIjTvHoUX0s4VJoWYdCELJENwV9roiN7iAEeL7vyhnJJfqzGsvs7cKahlazp6wwywheXW5kut5llieO6BrGDGzCpVPSE6WcWM5Yh/g+fGhP7GyPI5liMMOMikkfr5/omtEcvFiT3cdbs1dkTc8tsL9QYboRwtzNRr/OLOv87urc5rdSowS9DxjOWPt9etSNtzh6QXfbkGW7qETYY11YT4sTbnF0TJq/fof1WpSyre9GD0xLo/cxvFKUACAibNplZKne7ain7ics/Yb1kVBgNxX2LOiN/7K5UAiddBu9XQsnn3MwlxbvdmynkHt7lSHY3jH/h8yiY8Zn/Bf0Id1oPB/3oDp78RHMWGwnKsrmIKdz21hmCnqplo/Y7D1TwD+xYGPeY5YSJeh9QPTIFMg1qcUkzxdeCQBjBzZa2Zd+I6IBnB2ffvXSirTtfiW1CWzvSqA+ouftMJWLIMMrNQL2mealWSuCq3jqNN0EpdELeeQsHZy5XaY5UE6UspdpWGK2tlwr9T09+zODLPPQYUN64KSDvBcRzBdcIMxaIvzRGK/n3XvGsNF7M924ae/O4csROemC3t7QCqsUJjONrPaZIr8gbBWTU1E3NQcjPbzyk537rPorXhOmAMPO6Uw6KZR82lPUER74z/mG5jH7+ycBMEIqhQOvtTOJeo+JUjJjBjTimuONFPpgbPTGf0JpwtjkwnD1ET0tocZPxHnlSy5zq4gqnIBylGRYt52oFx1h1xaM6Bpa9nYinkyhrTNZkGku23wW0SbiJhTS7RZ8Qf1EId2bM9btxtnkOOdjR/e1Xnc5om7EzTPs0OhDGuGXn/8MnvzmsVZUmtUHQAn62iPF6RP/WbNezeptrfajrgdB3xANYW9n98wCbhfVXVKdmqiZMCUuSKGtDu9rO+tmLjUajbR3JdAYLdxsM/N7J+DWsw8xjyfCK/2MuhGmFMIIs0iXm73UL+R2jEE2UhFCNJHinOYGNwe/5ma6kWzYMckkGNY17N4Xx5gfPY8129oKilzJlhfyh69MtsYuji1OIQjTTcosbObFRu92fKcCM6inHToq2+jTounEdyz9j4V1TBpuZyf/+Bxj3jsjl8qNEvQ+kGJOq7z/nZMPBGBMJrnxRz4Mjb57gt5tUssOtmhIQ4rtC7JXfdgKvTv7M0a25HUPL0DL3k60dSaK0uhlhO23MwiNnggXHzEUEV3DZEcpAD+xNWh0ywGYD1m45zqGmznQ3UZvX971kew37GwdxNwY2ttQCI4d3S9teQ+zVr+YvyGd8MBso+H4B6az3086EynoWmaegBtum2zZY1cgrY/oVollIN10QwT80GwPKhr36JKN3on4fvzoFucnStD7gUOjF/HnyRR7LoEA+CPo8ylPESkzMp5MYVd73Aq9u+M8u4jVnc8uRVtnMqODUaEEkxlrCjoY3+vxY/vlTGkXJJIpvJ6nB6obac1bfBT0XYkUps/8yHJ6y3vNVlUScM/NEEJHnmZylrJXZ2s+xg5swls3n4yrp41MWy4ybi1BrxF2mk3U1233VuK6ELbs7kDYLPGQn9y/16CesbT589Nn7LDL5xdvwRVHj8Dau86x7O/ie3VLJo76FCbtNzUt6HfmqJ3tJynmtC40sp3OawkEwDDdtAYs6C1TSjxpfT+i9Gy/Rrug2jOLNqGtK4H6Ikw3MkGGVwpBt35HO5ZudjY9y+R3r3yMr/xpDr74x3cz1n2wcRe+8dd5VgEzGdExicz6437ZXx+dtwG/e+Vj/Pblj6zjCHKVqXDG0Ruvc2v0dTkE/b+/fVzWdW4M6VWXobiIG/qWPZ3meOxjB9GoJZ5MuZZ4cCPfz9W/MZq1zr6s+QtymQnF9yLMn5VCzQr699fvxMQ7Z6aFTQUFwxkBYaflF6PRdydlXBYW44f1wg/PPDhtvVzrZEe7Mbl7SwlRT33Trpvywcbd3a4nHtaNOijd9T3I2KYL47147M4WrbJ2WxteXLIF75v10p0lBhLJFM699y28uORTnPGb2a7H0yUHnF8avWi8/Yc31iCeTKXdpBes35nlU/lMN/Z2u9pt4VUnmW5CDlX0Mz6WXb7/dcNcE9IIP/vcOADAQYO81UnywlgzE3r6JRPMEg/5byK5mtJ8fuIQ47rrcp+fo1w6qglFLtfDRCKgCqfFUrOC/uVlxh11zpodebbsPs4SCEIoJKWomyw1o9JoiIaQ4u61xpOn9K+/MB7XnTg6bX1UioLZttfU6CVNfuLw3hjRtx6HDTEqIs4uwtThZEBTzKqe6Ad2Eprx/xsnGOfodrF+/aF5OPGe1/CNv87HG2azjePHpocTnvXbN9Lefyppccu37MF9s1ZZNxVd08ykIH/t9E8u2Jh2U/1vs168G25RNyJe/qNP7VBC2TYuag4B6Q1Cfn/FEUWPWWZ0f0MAHzTQEOq6RhhrvvbbXH3WYYPQsy5shFcWaaMXTL9kAjoSSSzZtAcrXcIwnXV/APt7T2a5yYwf2hNDegcTJl0sNSvohYOpu635vOCMo5dLlRYSRy9icbtjvpE1emc/SwBWXfK9HQm0tBrCwdk16MjmPli7zcjwu/yo3JmSXmiI+ht7bn2npggR2qqbRu/2CO1MAGtx3ITONLV6ZsaZvzFuAsJmbhWt8ijn//ruOhz585dx5Z/nYJGjA9PE4b2s1z98YnHazSNbNUkxLsDdHDj7Y/cbs5wLsUwycx09sq/b5gVDRBjUI2aZcEIaWU8Ofjqv5Qi3kKZ5Mt3I36szrBKwn/BOnf46jv/PWWnr3HxU+SqmxsLBheAWS80K+iOb+wAADvbxsTEbzJlhbYDhNPNaAgGAFcrYnVh6WdF0y8YVE7etK4Hv/9Oos97PIegbIrp1s/Gjm1JdJIR2P230ljnM+C8iSpwXVzbH66qWdM3tTLM2u0A4EUfektksu9B64z95+kO07O3ErBUtOO++t7Cnw9j3u6u34/316YJfFhu5BL2bRm/tQ9rJueMHu37+9nONLlGfnzQEPbtRx8hJfUTHh2aClqaR9F35KejtCLew7s0ZKw7/lyuPxDu3npJz2/U77BIgv7p4PJpdTDeyadaN+oieN+mt1NSsoBePVaXIW3A6Y3U9U6P35Iw1QxlbPUSQZMOtzV7aMcybSXtnEgPNsrNOLScm2XPlmvTF0hDRrQxWP7AFvXF+tqBPP8ZX/jTHej2wh30zc2ZKtnUlMapfA17+3gnWsi273RuAi5u4Fy3VbZvDf/YSAODSB2yHcGM0hIE9omm25NNyxGE7fRTZ6GP2k3UqO5cfNRw3njYWPz/fWx9gr8TCunXO/RojBX1XnpE1et2r6cbYpikWctXQ5/zIXfhfeMRQ1+W2jd792F3JFBZ/shvn3fdW3rGVipoU9Lv3xfHYPCPjM6gmETJOjT7dRm8s86LRN5mxyLv3xYsax6zlW60CZfI4ZCyhGE9iVP8GjB/WKzOCQrLnTj0wPV66GOojerczfmXkEggAUBc2Ll5Zi5LNX189thnTv5DeEk+mtSOOhmgorWrk0b98xXXbQrTUP7+1xnW57K+4cmozWjsT+HRPZ5pSkluj95ZtPX6Y8TT2H47er2Fdw3dOGZPmoPUDOfLp0ME9A9PoxVl79ZfY5kz372tAUyzt/SEH9Mjw48jkOy9hCnKa6spJTQr68be/ZL0OqkmEjAi/E8iajFftC4BV52bT7uK06Cv/MjftvZtGXxcRQjGBlr2daY5YextbABw1sk9RY5Gpj4RcHcy5oiHcaO1M4IZH3rcEpRB0QnPdLoXIyQ7Vy6YMt0x5I81HcRHuOf2lFZi1ogWLP3FP6vnyMSPS3lutCz3YhkVAgJN1UoXQm04/CF89thkA8CfpxuCsDinj1Rx4/oQhePvmkzG5ufu/oRdkbTkW1iXN18ccCtg3+LDHG8kG86k011O1nDnMzKjLUVwwkCeVgKlJQS/zq5kf5d+omzDcQ91kbcOLRi/spXuK1OiduAl64Yhs70piW2tnhiMWSL9gvTiR89EQ1TMSwV5e+ilG3ToDq1uyl4t18rW/zMXTCzfhwv99xxybsVyEhwr7N5Au6Af1iCES0rD2rnNwjFnTZM6aHYgnU/jdqysBAKP6GzeAWTedmHZMOYkMyO+I29baieabn8PPnlmCd1cbEV9v3XwyXrzhePQwne0X/u/bAIChvevQEA1lOIOB3CZHu8ha9m0A47cbHFCRPDea+9WnvQ+izaMc4SacvfkcsiKMNdc1+Og1x1iv48lUzlh5sS6bf+C/pUidILprFUNNCvpS15lgh0YvP9oVYroRNcOLMXO4hS8646UBI7InbJav3d7W5Srom2L+9qOpC4cynFP/79GFADKfQmRWbm3FXc8vtzR/Z6isuOCj4cyoG+HofOXGE9IcjheY5R6SKU6zw196pFH0SzRpz0Y+R9zk/3gZAPCXt9daywb3jOGgQU14RBImgO0EPrC/S6MRL7VuAqzvUwyrthoZsCLxLt93VQxyhJvc6MQLzmtw/o9PtV4fLgUdJFKcU8ERSYfZWnJ+9nC7obqf+SPdIa+gJ6JhRDSLiJYR0RIiut5lm/OI6AMiWkhE84joOGndWiJaLNb5fQJuvCSF1JVC6Lt1mAKMqoeFOGNDuoZoSMuavJGLxY56IkN712U0mwAM+2yfhgg+/nQvmDNDK42x+itAGqI62rrSE8HEBbBue3taYo/MqdNfx/2vr8Ip019PKyMrEKV3xWO3nIH5Xy8a5ZedZZ971hlC//pH3sc/522wlveuNwR8g1Tb59eXjM84Zkj6bZ1kE2jkMDHZy43/Xzp6hPMjOTX6XKabCye5OxBLgcjZEEl3lkbvY/cv2R9WiBkNyDSfhkOatM5emUhyzmtAmHWyPanI+9rd7s/TeXfxorolANzIzAuIqAnAfCKaycxLpW1eAfAMMzMRHQ7gMQBySuZJzLzNv2FnR3a+juzXYGl7QWI4iOTwSlOTSRaWGQsYZpNC4+iZGT/5l/F4OrhnDI9+4xgM61OfdfvGaMhqJedmo2/umxlS1h3qIjpSbAhiURKhuW891pq26uP/cxY++NkZWT+/ZlubNV4Z8egc0TUQ2Xb3TbtsH4ezxosoybunI4Hh0nn2MG8AspZ87vghcJJLuLy3JndXIblCIgB880Sj+F3/pije/OFJOO5uO4a70OqVghtOHZNzDEHy3VPG4Lun2MfXA7Bly85Y8cTqVaN3XoKRLA7vrmQqZ5LXpVOG46OtrVbxwlzs3hfHsLxbBU9ejZ6ZNzPzAvP1XgDLAAxxbNPK9sxsQDBtIvPyyxnLcI+pyV17wmiz0mAJEqbgLBlr/Jdr3XhVkhtjIU8FumTaupJWGOTfrj4qp5A3jhG2hKybRj92UCOaYqGM8gnFUudS70Z2zu5xOV8vtk1hqiEyio2JG+Sxd70KADjBJXJisCRsZXOX/DTwt6uOwjdPHG0Jqpe/dzwevtpokB6SQmedkIt4eOwb6eaab51kZyqLpwvArnoocPtOBLnMgZVkzhEavVdB7AVZow8X+MTgnFLZ7PCJZCqP41bHLy74DHrVZzfzXW/e8IqNoPObgmz0RNQMYCKA91zWXUBEywE8B+Br0ioG8BIRzSeia3Ls+xrT7DOvpaXwtPtUivH72avxhzeMyIWxAxsR0ihnFUC/SDlsekKjv/Zv8y27cjZ7npMRfRuwZpu7gzKeTOGPb6y2nlqYGeu3t2Or5HjMNfkEctjXABdBHw3pWHTb6RnlE4rFLmxmfAfMjJ1tccus4jRpAHbSkpMnrjsWU8xIoDEDbdt2ioH3Vu9I69V514WZceJEZDmbRb/Urx7bjM9JdtXjxvTDD6Sb3IEDmqww01xa6gcbje/1D1+ebC2b4oha+v4ZB+PH5xyCaWP65RTK03MEEeSK5PLS96BUBKbRm6fo1RkrfxYAnr9+Gr532tiMENZrzVIaXYlUt82XZ5klv6tO0BNRI4AnANzAzBmlApn5KWY+GMD5AO6UVk1l5kkAzgLwLSI63m3/zPwAM09m5sn9+3tvbWaPL/290ZVeK0kIVLYSCADwzEKj2bfX8sN9GyJZJ8dj8zbgP55bhjN/8wY27mzHX99dh+P/a5bV6BkAetUVlunYz8V0A/irGQobutDi27qS6Eqm8JVjR+C0cQMzbjbMjOPufjVjP/992UQcMaI3HvvGMXj2O8fhC5Pth+J+jREkUqm0RCTR9cfJQ1dNSXv/08+N82xaE4LUzT77S/PGMbhXLGOdzNXTRuGvVx2VsfyJ647BrWfnf4rKFclVQQp9wYLYC3KEW6HOWCELDjmgR5qJSTCsjzFf4knOFnLvmV51hvKyq0Js9J4EPRGFYQj5h5n5yVzbMvNsAKOJqJ/5fpP5fyuApwBMyfHxonFeqE2xMHTP9aq7h2G6yQyvBIAbThsLAGnJOLloioWwZ5/7TWFHq+G0XLOtDcfdPQt/fWcdAOA986nhxRuO9ySgbzTHBMD3pBk3nKYbcR696yPoEQtnhJNua+2yyhnI3bF2Sk7bw4b0TPvNJzf3SSvolYsxjt+ikBDSXFrqtDGG1i8KfF2UJbMyG0eM6IPLj8p0zDqpNtONv1E3tkZf5xJt5URWsPJ1upJNTd3V6Ps0RECUHuZbTrxE3RCABwEsY+bpWbY50NwORDQJQATAdiJqMB24IKIGAKcD+NCvwTuRw5oaojrCHutVd5eMevQuF5ub/daNHrEw9nTEXTN6nTkBIpW/Za9ha3Yzw7jx1qqS+MUtrPBHU9D/l9mQvG9jBIN6RrFpd0daPXDZmXriQQOshKJcgvMNR12b+780Keu2cmTN36/O1Kxz4ewJmkim8IZZSKwxGsKYAY2IhXW8c8vJaTcpr3jxTeSKo68k0434rnLV1i8UOcJNFAGU8ydkHn5vHQ796YvW+3zCW4SDcvcVekRCGurCerf7S/iFF41+KoArAJxshkguJKKziehaIrrW3OZCAB8S0UIA9wG4xHTODgTwJhEtAjAHwHPM/EIA5wHAKLErYA627ZsMc7omJWv0ljPWo5Hs0ME9wJwZLpmtMQJgOBXDOqGXxwJVt5x1iLfB+IQoqSA0+n8vMsxZvesjllY26c6ZYDac16JGyDXHj8KgnjH87NxDsfauc3K2NZSTvBqjIZx52AFZt5V/q2MLLPHgjA2/d9ZKXPHgHLy9ahu2t3VZUT0H9KxzzWPoDskUI5FM5YyjF3WWKgER1eLVP+WFFNuhj6J9YbbaUM6yw4cP7eW6nUBW0PwIMY6FdV8b7nSHvOGVzPwm8tzgmPluAHe7LF8NIDMYOSC+fMwI3PmsEfV52JCeCOsaWhPB31GdGr3cn7OQ6pUArIiZxZ/sTktd/95jC7N+RkTceDVBjB/WC/992UQc50MdGy8I85CzHEW/xigOHGAX3Hp39Y60SBg3O2o2Lp0y3HJgfnh79lBNwZpfnl1UwTunOWL+OqNByM62uC+9D3LVuJl296vY25nAnWa2rtucyhYyWA6ICNGQ5muHqZSkbYube7YotX/MWW+9PmJE77wN5OWv048Ho1hIq5iWgpUzK3xAXCQH9Iz53t8zF84SCKI4GZA75tkNEe54+7+Xpi3/yKXFXXf43PjB6O0S7RIEsjNW7rwztHcdzjjUTmibsXgzvvOP9633hfSrveTIYehdH8Z9l2c32cgQUd4L3w1nmWLRzOTFJVsK3pcbsbCOXvVhjDugR8a6Tbs7sLcjkXNOVZKgB4yOZr62kZRKIIgM7r1ZTDeyudTLb/34/I32Z33S6EtRVNELlTUrfGDBT07DTLPcrK5pJQmvZOaMzNjhferRaHaMArxr9MLO7oxv3+Qom+slOqNSkJ2xIqLoZ2akCxFhxnenATCadBTLwB4xvH/b6Tjn8OwmGz+wHHaOefWMaY6Sm4kUy+FDe6VlbTpxm1N/vWoKbjh1TEU5YwHDVu1nQIQc4ZavUc+EYfZv4ZZw50R0xAL8iV6KhnWl0QdFn4aIpQkazthSVK/MfNSbemBfMyO0sIQpIsIXjxqOXe1d2LizHTMWb85w0N1x3qFWpyhBbx8bSPhNTHLGCl9DHyms0622jhyLXkkIG7yI5hjqaBl38RHdz4PUKXdlT7c5NW1Mf9xw6tgsnygfEV3z1UYvR7hFQzqiIc1KLvvbu+twttQWUnbSioCFXMiVSv0w3Rhmq8rQ6P2tXlVhlM4Zm1kbQ0zwQqpXCkb2a0A8yWkp8QBw1XEjcevZh0DXyErOEbxzS+7OOeXEdsamrFLCfSWzkfPppSkaytl4o5yEM6Ju0ueXKI7WHfLN22LmVLkI+6zRu/nDRHjlj80qlTvbutC7IYIlmzLSfXLSIJkK/XHG+mu26g41p9HLhHXN1/TrbMgOIkEkZAj6Qk03QPqEkxG+ByAzgsBZ06WSiEXshuSWRi8JeufYK6Xinxt21I1xE9+1Lz0ayg/TiUaUM+a7mDlVLsK6v+ZTZ4RbioHNu/elPfUu3LirKE1aDqLw45uNKdNNaQhp5LmyXbHYtWzSp0Y0ZDhivNYOl+mZJbu1lLXF/UQuOvbNhxcAyMzIPXf8YEv4y/VgKg25IuPWvZ2BXMj74sm03qVOCnXwl5OI7nfUTbpGv3tfHC8v25rWdKZlb2dRPVvlzmp+OGPrqim8spoJ6YR4wKYbZ6NqQTSkIcV2hcVCJk62aBNn9UNBuIJip90gItSF9bTMVqdP4XeXTURnIomnFnyCCyZlVo2sFOTM2NdWbE1b910P1Qy9ICJ5siFs3n4Io6Dx23RjOGMzz/tXZhIeAHy6uwO/mLEsbb0zG9oNzec4+vpIKKNhfbmocY1eC9wZK24jzokhOyAL1byylSUYnKV2y9I7zizsAGUgFtbToSZikQAAFeVJREFUGn24JRNFQzounTLcauxQicj16H/4hFEj/5hRRteqS6cML8kYhPAoJjy01ER9d8ay6/X0jzl2b4EtezqwdpvxRCS6el1+lLffprmvkcfixz20IVpdmbFVi6556xLfHawICMfyqIgd70oWrHlNHtEbf/jyZBw8yA73+sOXJ2do9E3REEb1b8iZZFMpxEIaNu0yBH2u8gSVjlutmz98ZTLm3HqK76a1bA7ZDaZZpwrkPMIhf+tNuUW4yYzoW48tuzswbnAPRHQNV08bBSC97EUujhhhJCn68d02RENoL6KJUBDUtOmmFLVurMxXzWmjt5OECp00RITTxg3EaeMGYntrJ/Z2JNDcL7MZyMKfnu6L06gUxCI6NptNz3t7KKVcqYgS1IkkY9qYftizL47GaKig5C6vdMSTro75R+Ya2qvX+knlJKxrBfdXyIUzwu1vVx2FLz1oV01ft70d67a347RxAzG8bz2unNqMsK7h/InezIFCZ/LDLNYYDSGeZHQmkmV/Sq18VbAbhEpQpjhbnHxMqqzXnUnTtzHqKuQBQ7ustASZbMRCulVjvlQZuUEgaskkU4y9HQmrM5WfiGS4fXkcefmqMVYCfsfROyPcNEmCaWSb1mYu/RT9GiNoioVx3YmjEcmRgCYjoqr8MN3Ud6MHtN/UtqDXKPDwSssZ69CuhObXladbzf6CKIMAwHPxtUrEirpJMRZu2FVUdEc+RPOYY375CgDjptJ883MZ21XDTd5PZ6xbhJtcrTPFwP99za6CPqApd18AN8Tv64cz1plcV05qWtCHdQ3MCNQhy3APdRMlWuPJ7te2rgU+3WNnJoqmDNVI2AwVbe00nk7mmUXN/ESUjBDx5x9+kl7JVDgYs4XhVhIRH+Po3SLcnA7pqVKhvmJi6cX+/LhihV+grQLs9DUt6IUW2eHjo6OTVJbwSqEZ+NGWrBb4RKox7/UxuhLRNQIzcN+sVQCAq48b6fsx6hwJZHc8m17gLlc/2UojrPvnjE25ZATLTzWyNm8cu/B5pvuq0SvTTUnw0oGmu2RLRxfhg11J9sXeV+18NuBiY+XCa+ewQnCG184P4KmhVIR9tNHbocz2Mtl0I5rBL7rtdFx7wmjcc3HhFdKFgubHNduoTDelIeZoYRcE2Xy9SqNP54ZTjdryf6zQYmWFMG1MP+sizlauojtUcjmLQjFKIPir0afZ6F38FD3rw7j5rIOL+h4t041PCVNAZQj6mg6vFJpRvuiFbpGl7ogQ9J2JwsMra5EDBzRh7V3nlHsYvhANaVYiTBB28qgH05Zbxc9KxChTHJyN3m8lyk8bvaXRV0B2bE1r9KUw3WSrO7LLrLu+uqVNafQ1huxjCEKjd2tF6TR93euxwUq58dNG7xbh5nd2sJ9lJWwbfXaNft7aHfjmw/Px2LwNWbfxg+pQC4qkLhy8Ru/2OAkAW6Xu79VQk0ThHbmLUxChorITUTw5HDq4J579YLO1/NDBmR2oKpGwriGRYqRS3O1wULcIN7Fs7EB/fCVi3348gwglIFcZhIvufwcAMGPxFhw6uAcOHdzThyNnUtMafSwSvI3ezUEEAKP72xNPyfnaokXqazsqSzJbd5BvHjvbjCfD/k1R1Ed0nHhQf5w2biD6VEl2sbhp+ZHP4hbhJjLfdc0fUSaevnM1fvFKNKRB18gqg9ART+LWpxbjigffwwqX1qA/eurDbh8zG/uFRh+sM9Y9vvLIkXZjb2Wjry3eWrndeh3E05pcwnlHu6jfH66K4nVOxNNPPMnorpXLLbxSZL77VcFVXKt+ZB0TERoiuhVe+e9Fm/D394yG5V9/aB5e//6Jadsv3LAL8WQqkNpVta3Rl8B0Yztj0xeHpAXKRl9b+FWO2As7zTrr1VofSAjguA8hlrZOZV9P4wb3wOcnDsFvL53Y7f3L+/arckpDNGSZbl5a+qm1vCuRQpeL7+LBN9f4c2AHeQU9EQ0jollEtIyIlhDR9S7bnEdEHxDRQiKaR0THSevOJKIVRLSSiG72+wRyITT6IGtCp1wcRIAxYYQ2Uw3lZBXeOf3QQYEf4+vTjEQs0eu0V7UK+pDQ6P0Q9JmVYsO6humXTMBIn0xo4lp19mkuFrmCZZP0SENk9xWYJDWUdzPp+IEXjT4B4EZmPgTA0QC+RUTjHNu8AmA8M08A8DUAfwQAItIB3AfgLADjAFzm8tnA8OL17i7ZSiAAtjZTzZmgikyy9QvwE1GnRbQqrC/BMYMgLNV86i6c5enZT8Su/SoYZ2j0hqKZlPZJMEw1APC58YOt5aP7++/zATwIembezMwLzNd7ASwDMMSxTSvbt8AG2D7KKQBWMvNqZu4C8AiA8/wafD4aIiGjLkmAKePZSiAAtjYTqYJ68QrvDO9jNKcIUuCIfgZ79hlz10tsfSUSDomaT90XnNki3PxE89t0E9EtRXOXWb1VcMWDcwAAezsS+M8LDwcQXMx9QbOHiJoBTATwnsu6C4hoOYDnYGj1gHFDkANEN8Jxk5A+f41p9pnX0tJSyLCyommExkgo0Nog2XrGAnbEgdLoa4uwrmHtXedg9S+DSwATgn1vhyEcqnUOiWvAjzII2SLc/ESEgPqp0bd1JpBMMV7/yJZrW6Tw64ZoCF84chgAYOH6Xb4c14nn2UNEjQCeAHADM+9xrmfmp5j5YADnA7hTfMxlV67fIDM/wMyTmXly//79vQ4rL02xkK+ND5zYSRyZhM1JozR6RaGIRhVi7lbrHLKjbvwIr8zx+OwTVtSNTyp9YzSEtq4E/jFnfdpyefeXSy0o31m9HUHgafYQURiGkH+YmZ/MtS0zzwYwmoj6wdDgh0mrhwLYVORYi6IpFra0oiAQk8/N4WqZbqpUG1OUD6HR7+mII6SRa4/dakDM/U4fo24C1eh9Nt3Um+GV2fyE3z/jIMvnM21Mv8ACN7xE3RCABwEsY+bpWbY50NwORDQJQATAdgBzAYwhopFEFAFwKYBn/Bq8F4LW6FPW5Mv8gUS0z9y1OwI7vqI2ETb6l5dtrWpFQYzdF9NNjmvNL/yMowdMjb4zYYV4L78zPRdCTqz84ZkH48GvBFP0z0sKw1QAVwBYTEQLzWW3AhgOAMx8P4ALAXyZiOIA9gG4xHTOJojo2wBeBKAD+BMzL/H5HHLSFAthW2tXYPvP1koQsEPj/CrqpNh/kHuMBhkeHDTiPIppAuIk5RJe6TdBxNF3JlLYurcTPevCiIV1TD2wr5V0N7iX3QXrsCHBlD8APAh6Zn4Teb5bZr4bwN1Z1s0AMKOo0flAUyyMNdvaAtu/WxKHQtFdqjXKxomw0Sd8UHZsZ2xw15rYtV9x9CIsdsOOdvQ1eyVfeexIS9AP6lF4u8NiqI3ZlIPGwJ2x2ePoFYpikTX6asYOr/TBGZvKEfngEyLxMeGjMxYANu7chz6moJfNQgOUoPeHfDb6v7+3Hm9+vK3o/eey0SsUxZL0SaMsN1Z4pY99m4O81g45oAkAMLhXnS/7ExUs1+9oR29T0IubyJklyLAW1Lyg7xELoyuZymojvPWpxfjSg+/h/fXFtWvLVo8eAP7j/MMA2L1rFQqvJH2o9lgJRHyMoy+FjX7i8N54/Npj8O2T/KlnJLLzkym2TDdDexs3kaNG9cn6Ob+peQkkOvG4afUrt7Zary/4n7eL2n+ubL3LpwzHsD51uNvMelMovBJUXfJSE7Fq3fiRGWv896kicVYmN/fxLdKpIWK7Qd9eZdjlDx/aC6/ceAK+emyzL8fwwn4r6Hfvi+PU6a+nLTv6F69g5dZWfO0vc9F883NW1EwucoV8aRrhjR+cjPMmuCYDKxRZiYV1jB/WK/+GFU7Yx4Qpu6hZ9ZhJ5Q5kR0sa/Oj+jSUN4Kh9QR81mjjISVO72+O48s9zMrbdsqcDp05/Ha8u3woAeGtlftt9KR4nFfsn//rW1HIPodtYZYp9EPTCzl9NeQU9YnYTmdvPPaxs46jpxiOArdFvN2Ppd7V34di7XrVik48d3dd6pHLi5YbLJXqcVCiqET+dsaL3syg/Xg0M61OHob3rcMrBA0pS9TQbNS/oRfjSDrOBw4Q7Zqatf/jqo7Bs8158/aF5+GTXvrR1XsIyS1FRT7F/c/jQ6rXX+1nUzBL0VVSymYjw5g9PLvcwat9007Mu03QjQ0QYN7gH3rr5ZDz0tSkAgDvNaBnRGSaRTFmdfpyo8EpFkCy5/Qz889pjyj2MotE1gq5RVkG/q73Lc9asKCNQTRp9pVDzGr1IWHhk7gbMluLlv3zMCHx92qi0bY8f2x9r7zoHzIyfPbPEqmN/4I+et7b58PYzrH0CKmFKESwN3W20WgHUh3XXdp4fbNyFc+99C30bIpj/k9My1v/1nbWYNKK3FYG006znXk0afaVQ/bMoD8Jxs3zLXiw323T95pIJOH9i9kgYIkKj1OtRZv66nThhrF1GWWn0CkVuGmOhjOY/G3a049x73wIAbG/rwvceXYjpl0yw1m/atQ8/+ZdRFuvI5t64YOJQ3PrUYgBArEayhktJzZtu3Dh6VN+82zRG3TNqnXWqcxU1UygU6Q2yBZf8/p2090++/4nVL5WZcexdr1rr5q7daQl5AOjVEIaiMPY7Qb/y52dhUM/89SUaokYLsB0O2/zMZZ+mvU9VYWyvQlFKnE/Ha7e1YdPujozt1mwzEhj//cHmnPuTQxYV3tgvBP1rN52IO88/DL++ZLznBg5ict7+7/Sqyn9/b32686gEzRAUimqmKWYL+i27O3DiPa9Z6/7x9aPx/PXTAADX/m0B4skUbvrnoqz7Oukg/7rP7U/sF4K+uV8Drjh6BC6YONTzZ8Tjpiiv+ux3jrPWzVxqaPWtnQlc/kejfa6mJL1C4UpDxLbRH/3LV9LWHTO6L8YMsJtv3PPiCitCZ3DPGNbedQ5+ccFnrMqPv71sYolGXVvUvDO2WKIhHW9s2IaFG4xmvYN6xjCluQ/mrN2BT/d04tG56/HDJ2y7oRLzCoU7jbGQays90W1Jfsr+/ezVAIApI/vgsW8YYaWXHzUc504YjNaOhDLbFMl+odEXw8sOW3y/xiimXzIeAHDns0vThDwA9KpXE1ChcKMxGsLezgQWmUoTACy94wzEpHj4RbednvYZueCg2IcX35rCHSXos/DEdXaSyjdPHA0AGJKlRvXXpo7EgQOaSjIuhaLaEH1T5SKB9ZF0Y0JPh6LkDIJQdA8l6LNwxAi70txXzHKiRIRFP03XPO69fCJu+9y4Ug5NoagqGmMhpBhWS8/PZ8lheeK6Y3H0qD44bdxAvPGDk0o5xJpH2ehzsPzOM7GqpRUDpXZfPevCuOiIoRjQFMUPzjy4jKNTKKoDkd378xnLAAB3nO9exfGIEb3xyDXVW+6hklGCPgexsO7aAOKei8eXYTQKRXXS5Cjj0FgDZR2qDWW6USgUgaIEe/lRgl6hUASKbPpccvsZZRzJ/kteQU9Ew4hoFhEtI6IlRHS9yzZfJKIPzL+3iWi8tG4tES0mooVENM/vE1AoFJVN/6ao9boWqnFWI16+9QSAG5l5ARE1AZhPRDOZeam0zRoAJzDzTiI6C8ADAI6S1p/EzPn78ikUippjYI8o/t+pY3HehMHlHsp+S15Bz8ybAWw2X+8lomUAhgBYKm3ztvSRdwF4rzWgUChqGiLC9aeOKfcw9msKstETUTOAiQDey7HZVQCel94zgJeIaD4RXZNj39cQ0TwimtfS0lLIsBQKhUKRA88GMyJqBPAEgBuYeU+WbU6CIeiPkxZPZeZNRDQAwEwiWs7Ms52fZeYHYJh8MHnyZHauVygUCkVxeNLoiSgMQ8g/zMxPZtnmcAB/BHAeM28Xy5l5k/l/K4CnAEzp7qAVCoVC4R0vUTcE4EEAy5h5epZthgN4EsAVzPyRtLzBdOCCiBoAnA7gQz8GrlAoFApveDHdTAVwBYDFRLTQXHYrgOEAwMz3A7gNQF8A/2PcF5Bg5skABgJ4ylwWAvB3Zn7B1zNQKBQKRU68RN28iTzl1pn5agBXuyxfDUDVC1AoFIoyojJjFQqFosZRgl6hUChqHGKuvEhGImoBsK7Ij/cDUCtZuLVyLrVyHoA6l0qkVs4D6N65jGBm1+7pFSnouwMRzTMdwVVPrZxLrZwHoM6lEqmV8wCCOxdlulEoFIoaRwl6hUKhqHFqUdA/UO4B+EitnEutnAegzqUSqZXzAAI6l5qz0SsUCoUinVrU6BUKhUIhoQS9QqFQ1Dg1I+iJ6EwiWkFEK4no5nKPxw0i+hMRbSWiD6VlfYhoJhF9bP7vLa27xTyfFUR0hrT8CLM940oi+p1ZeK6U5+HaXrJKzyVGRHOIaJF5LrdX67mYY9CJ6H0ieraaz8McR0Yb0mo8HyLqRUSPE9Fy85o5puTnwcxV/wdAB7AKwCgAEQCLAIwr97hcxnk8gEkAPpSW/SeAm83XNwO423w9zjyPKICR5vnp5ro5AI6BUYPoeQBnlfg8DgAwyXzdBOAjc7zVeC4EoNF8HYbRVOfoajwXcwzfA/B3AM9W6/ySzmUtgH6OZVV3PgD+D8DV5usIgF6lPo+S/3gBfZHHAHhRen8LgFvKPa4sY21GuqBfAeAA8/UBAFa4nQOAF83zPADAcmn5ZQB+X+Zz+heA06r9XADUA1gAo99x1Z0LjBaerwA4Gbagr7rzkI69FpmCvqrOB0APGD21qZznUSummyEANkjvN5rLqoGBbPTlhfl/gLk82zkNMV87l5cFSm8vWZXnYpo7FgLYCmAmM1frufwGwA8ApKRl1XgeArc2pNV2PqMAtAD4s2lS+yMZvTlKeh61IujdbFXVHjea7Zwq5lzJQ3tJsanLsoo5F2ZOMvMEGBrxFCI6LMfmFXkuRPRZAFuZeb7Xj7gsK/t5OJjKzJMAnAXgW0R0fI5tK/V8QjDMtf/LzBMBtMEw1WQjkPOoFUG/EcAw6f1QAJvKNJZC+ZSIDgAA8/9Wc3m2c9povnYuLynk3l6yKs9FwMy7ALwG4ExU37lMBXAuEa0F8AiAk4nob6i+87Bg9zak1XY+GwFsNJ8SAeBxGIK/pOdRK4J+LoAxRDSSiCIALgXwTJnH5JVnAHzFfP0VGPZusfxSIooS0UgAYwDMMR/z9hLR0abX/cvSZ0qCeVy39pLVeC79iaiX+boOwKkAlqPKzoWZb2HmoczcDGP+v8rMX6q28xBQ9jakVXU+zLwFwAYiOshcdAqApSU/j3I4WQJyepwNI/pjFYAflXs8Wcb4DwCbAcRh3KGvgtGC8RUAH5v/+0jb/8g8nxWQPOwAJsOY9KsA3AuHo6cE53EcjMfGDwAsNP/OrtJzORzA++a5fAjgNnN51Z2LNI4TYTtjq/I8YNi2F5l/S8Q1XY3nA2ACgHnmHHsaQO9Sn4cqgaBQKBQ1Tq2YbhQKhUKRBSXoFQqFosZRgl6hUChqHCXoFQqFosZRgl6hUChqHCXoFQqFosZRgl6hUChqnP8PS9WAfa/OfAAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "signal = df['ppg'].values[14500:20500]\n",
    "timer = df['timer'].values[14500:20500]\n",
    "plt.plot(signal)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Now we need to know the sampling rate\n",
    "\n",
    "The sampling rate is the one measure to rule them all. It is used to compute all others.\n",
    "\n",
    "HeartPy has several ways of getting the sample rate from timer columns. Let's look at the format of the timer column to see what we're working with."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['11:10:57.978', '11:10:58.078', '11:10:58.178', '11:10:58.279',\n",
       "       '11:10:58.379', '11:10:58.479', '11:10:58.579', '11:10:58.679',\n",
       "       '11:10:58.779', '11:10:58.879', '11:10:58.980', '11:10:59.092',\n",
       "       '11:10:59.180', '11:10:59.283', '11:10:59.381', '11:10:59.481',\n",
       "       '11:10:59.582', '11:10:59.681', '11:10:59.781', '11:10:59.882'],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "timer[0:20]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, the format seems to be **'hours:minutes:seconds.miliseconds'**\n",
    "\n",
    "HeartPy comes with a datetime function that can work with date- and time-strings called *get_samplerate_datetime*. Check the help to see how it works:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function get_samplerate_datetime in module heartpy.datautils:\n",
      "\n",
      "get_samplerate_datetime(datetimedata, timeformat='%H:%M:%S.%f')\n",
      "    determine sample rate based on datetime\n",
      "    \n",
      "    Function to determine sample rate of data from datetime-based timer\n",
      "    list or array.\n",
      "    \n",
      "    Parameters\n",
      "    ----------\n",
      "    timerdata : 1-d numpy array or list\n",
      "        sequence containing datetime strings\n",
      "    \n",
      "    timeformat : string\n",
      "        the format of the datetime-strings in datetimedata\n",
      "        default : '%H:%M:%S.f' (24-hour based time including ms: e.g. 21:43:12.569)\n",
      "    \n",
      "    Returns\n",
      "    -------\n",
      "    out : float\n",
      "        the sample rate as determined from the timer sequence provided\n",
      "    \n",
      "    Examples\n",
      "    --------\n",
      "    We load the data like before\n",
      "    \n",
      "    >>> data, timer = load_exampledata(example = 2)\n",
      "    >>> timer[0]\n",
      "    '2016-11-24 13:58:58.081000'\n",
      "    \n",
      "    Note that we need to specify the timeformat used so that datetime understands\n",
      "    what it's working with:\n",
      "    \n",
      "    >>> round(get_samplerate_datetime(timer, timeformat = '%Y-%m-%d %H:%M:%S.%f'), 3)\n",
      "    100.42\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(hp.get_samplerate_datetime)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sampling rate is: 9.986 Hz\n"
     ]
    }
   ],
   "source": [
    "#Seems easy enough, right? Now let's determine the sample rate\n",
    "\n",
    "sample_rate = hp.get_samplerate_datetime(timer, timeformat = '%H:%M:%S.%f')\n",
    "\n",
    "print('sampling rate is: %.3f Hz' %sample_rate)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### That's pretty low.\n",
    "\n",
    "The sample rate is quite low but to conserve power this is what many smart watches work with. For determining the BPM this is just fine, but any heart rate variability (HRV) measures are likely not going to be super accurate. Depending on your needs it may still be fine, though.\n",
    "\n",
    "A **second consideration** with sampling rate is whether it's stable or not. Many devices including smart watches do many things at once. They run an OS that has other tasks besides measuring heart rate, so when measuring at 10Hz, the OS might not be ready exactly every 100ms to get a measurement. As such, the sampling rate might vary. Let's visualise this. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean sampling rate: 9.987\n",
      "median sampling rate: 10.000\n",
      "standard deviation: 0.183\n"
     ]
    }
   ],
   "source": [
    "from datetime import datetime\n",
    "\n",
    "#let's create a list 'newtimer' to house our datetime objects\n",
    "newtimer = [datetime.strptime(x, '%H:%M:%S.%f') for x in timer]\n",
    "\n",
    "#let's compute the real distances from entry to entry\n",
    "elapsed = []\n",
    "for i in range(len(newtimer) - 1):\n",
    "    elapsed.append(1 / ((newtimer[i+1] - newtimer[i]).microseconds / 1000000))\n",
    "\n",
    "#and plot the results\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.plot(elapsed)\n",
    "plt.xlabel('Sample number')\n",
    "plt.ylabel('Actual sampling rate in Hz')\n",
    "plt.show()\n",
    "\n",
    "print('mean sampling rate: %.3f' %np.mean(elapsed))\n",
    "print('median sampling rate: %.3f'%np.median(elapsed))\n",
    "print('standard deviation: %.3f'%np.std(elapsed))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### That's actually not bad!\n",
    "\n",
    "The signal mean is close to 10Hz and shows a low variance. Sporadic peaks to 12Hz or dips to 9Hz indicate timer inaccuracies but they are infrequent.\n",
    "\n",
    "For our current purposes this is just fine.\n",
    "\n",
    "You could of course interpolate and resample the signal so that it has an exact sampling rate but the effects on computed measures are likely minimal. For now let's just continue on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's plot 4 minutes of the segment we selected to get a view \n",
    "#of what we're working with\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(signal[0:int(240 * sample_rate)])\n",
    "plt.title('original signal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first thing to note is that amplitude varies dramatically. Let's run it through a bandpass filter and take out all frequencies that definitely are not heart rate.\n",
    "\n",
    "We'll take out frequencies below 0.7Hz (42 BPM) and above 3.5 Hz (210 BPM). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's run it through a standard butterworth bandpass implementation to remove everything < 0.8 and > 3.5 Hz.\n",
    "filtered = hp.filter_signal(signal, [0.7, 3.5], sample_rate=sample_rate, \n",
    "                            order=3, filtertype='bandpass')\n",
    "\n",
    "#let's plot first 240 seconds and work with that!\n",
    "plt.figure(figsize=(12,12))\n",
    "plt.subplot(211)\n",
    "plt.plot(signal[0:int(240 * sample_rate)])\n",
    "plt.title('original signal')\n",
    "plt.subplot(212)\n",
    "plt.plot(filtered[0:int(240 * sample_rate)])\n",
    "plt.title('filtered signal')\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(filtered[0:int(sample_rate * 60)])\n",
    "plt.title('60 second segment of filtered signal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Still low quality but at least the heart rate is quite visible now!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#let's resample to ~100Hz as well\n",
    "#10Hz is low for the adaptive threshold analysis HeartPy uses\n",
    "from scipy.signal import resample\n",
    "\n",
    "resampled = resample(filtered, len(filtered) * 10)\n",
    "\n",
    "#don't forget to compute the new sampling rate\n",
    "new_sample_rate = sample_rate * 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:119: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:298: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bpm: 79.359496\n",
      "ibi: 756.053189\n",
      "sdnn: 64.994392\n",
      "sdsd: 47.662905\n",
      "rmssd: 75.816447\n",
      "pnn20: 0.687500\n",
      "pnn50: 0.562500\n",
      "hr_mad: 38.056933\n",
      "sd1: 52.474660\n",
      "sd2: 61.238831\n",
      "s: 10095.466648\n",
      "sd1/sd2: 0.856885\n",
      "breathingrate: 0.166667\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:119: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:298: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bpm: 76.276784\n",
      "ibi: 786.608936\n",
      "sdnn: 64.426442\n",
      "sdsd: 33.842026\n",
      "rmssd: 52.451344\n",
      "pnn20: 0.706897\n",
      "pnn50: 0.258621\n",
      "hr_mad: 25.028467\n",
      "sd1: 36.269742\n",
      "sd2: 57.296852\n",
      "s: 6528.675837\n",
      "sd1/sd2: 0.633015\n",
      "breathingrate: 0.233333\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:119: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:298: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bpm: 80.140527\n",
      "ibi: 748.684870\n",
      "sdnn: 47.606192\n",
      "sdsd: 21.648073\n",
      "rmssd: 37.633326\n",
      "pnn20: 0.646154\n",
      "pnn50: 0.184615\n",
      "hr_mad: 27.042700\n",
      "sd1: 26.454880\n",
      "sd2: 57.468399\n",
      "s: 4776.224835\n",
      "sd1/sd2: 0.460338\n",
      "breathingrate: 0.200000\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:119: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:298: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bpm: 77.007966\n",
      "ibi: 779.140179\n",
      "sdnn: 67.149279\n",
      "sdsd: 26.025919\n",
      "rmssd: 40.921120\n",
      "pnn20: 0.620253\n",
      "pnn50: 0.151899\n",
      "hr_mad: 35.549817\n",
      "sd1: 28.690814\n",
      "sd2: 67.970221\n",
      "s: 6126.485560\n",
      "sd1/sd2: 0.422109\n",
      "breathingrate: 0.266667\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:119: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "c:\\python37\\lib\\site-packages\\heartpy-1.2.6-py3.7.egg\\heartpy\\visualizeutils.py:298: UserWarning: Matplotlib is currently using module://ipykernel.pylab.backend_inline, which is a non-GUI backend, so cannot show the figure.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "bpm: 74.808472\n",
      "ibi: 802.048196\n",
      "sdnn: 72.275896\n",
      "sdsd: 19.707483\n",
      "rmssd: 32.333149\n",
      "pnn20: 0.514286\n",
      "pnn50: 0.085714\n",
      "hr_mad: 23.028467\n",
      "sd1: 22.852642\n",
      "sd2: 37.011862\n",
      "s: 2657.218189\n",
      "sd1/sd2: 0.617441\n",
      "breathingrate: 0.266667\n"
     ]
    }
   ],
   "source": [
    "#run HeartPy over a few segments, fingers crossed, and plot results of each\n",
    "for s in [[0, 10000], [10000, 20000], [20000, 30000], [30000, 40000], [40000, 50000]]:\n",
    "    wd, m = hp.process(resampled[s[0]:s[1]], sample_rate = new_sample_rate, \n",
    "                       high_precision=True, clean_rr=True)\n",
    "    hp.plotter(wd, m, title = 'zoomed in section', figsize=(12,6))\n",
    "    hp.plot_poincare(wd, m)\n",
    "    plt.show()\n",
    "    for measure in m.keys():\n",
    "        print('%s: %f' %(measure, m[measure]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### That seems a reasonable result. By far the most peaks are marked correctly, and most peaksin noisy sections (low confidence) are simply rejected.\n",
    "\n",
    "clean_rr uses by default quotient-filtering, which is a bit aggressive.\n",
    "\n",
    "You can set 'iqr' or 'z-score' with the clean_rr_method flag."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": false
   },
   "source": [
    "### Finally let's look at a way to extract signal section and exclude non-signal sections automatically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "raw = df['ppg'].values\n",
    "\n",
    "plt.plot(raw)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import sys\n",
    "from scipy.signal import resample\n",
    "\n",
    "windowsize = 100\n",
    "std = []\n",
    "\n",
    "for i in range(len(raw) // windowsize):\n",
    "    start = i * windowsize\n",
    "    end = (i + 1) * windowsize\n",
    "    sliced = raw[start:end]\n",
    "    try:\n",
    "        std.append(np.std(sliced))\n",
    "    except:\n",
    "        print(i)\n",
    "    \n",
    "plt.plot(std)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(raw)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(raw[0:(len(raw) // windowsize) * windowsize] - resample(std, len(std)*windowsize))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Hmmm, not much luck yet, but an idea:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "255300"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(len(raw) // windowsize) * windowsize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mx = np.max(raw)\n",
    "mn = np.min(raw)\n",
    "global_range = mx - mn\n",
    "\n",
    "windowsize = 100\n",
    "filtered = []\n",
    "\n",
    "for i in range(len(raw) // windowsize):\n",
    "    start = i * windowsize\n",
    "    end = (i + 1) * windowsize\n",
    "    sliced = raw[start:end]\n",
    "    rng = np.max(sliced) - np.min(sliced)\n",
    "    \n",
    "    if ((rng >= (0.5 * global_range)) \n",
    "        or \n",
    "        (np.max(sliced) >= 0.9 * mx) \n",
    "        or \n",
    "        (np.min(sliced) <= mn + (0.1 * mn))):\n",
    "        \n",
    "        for x in sliced:\n",
    "            filtered.append(0)\n",
    "    else:\n",
    "        for x in sliced:\n",
    "            filtered.append(x)\n",
    "   \n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(raw)\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.plot(filtered)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### That works! A quick and dirty automatic extraction of signal sections\n",
    "\n",
    "For this we use a window function and for each window test whether it:\n",
    "\n",
    "-\tHas a range that is at least 50% of range of the raw signal\n",
    "-\tOR\n",
    "-\tHas a maximum that is 90% the raw signal’s maximum\n",
    "-\tOR\n",
    "-\tHas a minimum that is the minimum + 10% of the raw signal\n",
    "\n",
    "This works well enough"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
